Least Common Multiple of 305/98, 276/89, 566/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/98, 276/89, 566/948 quickly i.e. 23822940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/98, 276/89, 566/948 is 23822940.

LCM(305/98, 276/89, 566/948) = 23822940

LCM of 305/98, 276/89, 566/948

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 305/98,276/89,566/948

Given numbers are 305/98,276/89,566/948

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 305,276,566

Least Common Multiple of Numerators i.e. LCM of 305,276,566 is 23822940.

GCF of Denominators means GCF of 98,89,948 as per the given fractions.

GCF of 98,89,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,276,566

LCM of Fractions 305/98,276/89,566/948 is 23822940

2 305, 276, 566
305, 138, 283

∴ So the LCM of the given numbers is 2 x 305 x 138 x 283 = 23822940

Least Common Multiple of 305,276,566 with GCF Formula

Least Common Multiple of 305,276,566 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 305,276,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,276,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(305,276,566) x common factors =1 x 2 = 2

LCM(305,276,566) = ( 305 × 276 × 566 ) / 2

LCM(305,276,566) = 47645880 / 2

LCM(305,276,566) = 23822940


Lets's calculate GCF of 98,89,948

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23822940/1

Therefore the LCM of Fractions 305/98,276/89,566/948 is 23822940

Greatest Common Factor of 98,89,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,89,948 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 98,89,948 . The biggest common factor number is the GCF number.
So the greatest common factor 98,89,948 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 305/98, 276/89, 566/948

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 305/98, 276/89, 566/948?

Answer: LCM of Numerators as per given numbers 305/98, 276/89, 566/948 is

LCM of Numerators i.e. for 305,276,566 is 23822940

GCF of denominators i.e. for 98,89,948 is 1.

Thus, LCM of Fractions is 23822940.Finally, LCM of Fractions for 305/98, 276/89, 566/948 is 23822940.